$\cos\left(\frac{\pi}{2}-x\right)-1$
$\int x^3\left(4+x^2\right)dx$
$\int\frac{5x-3}{\left(x^2-2x-3\right)}dx$
$\lim_{x\to5}\left(\frac{8x^3-1}{2x-1}\right)$
$\int\left(10x+10\right)\frac{1}{\left(x^2+1\right)\left(x-1\right)^3}dx$
$5x^2+50$
$\frac{2+2n}{2n-1}$
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